# Singular matrix

A singular matrix is a square matrix which is not invertible.[1] Alternatively, a matrix is singular if and only if it has a determinant of 0.[1] When an ${\displaystyle n\times n}$ matrix is taken to represent a linear transformation in n-dimensional Euclidean space, it is singular if and only if it maps any n-dimensional hypervolume to a n-dimensional hypervolume of zero volume.

## References

1. Weisstein, Eric W. "Singular Matrix". mathworld.wolfram.com. Retrieved 2019-11-03.